Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 117 · 40 questions

The method (Round and inside): Rectangle: area = l × b, perimeter = 2 × (l + b). Square: area = side × side, perimeter = 4 × side. Triangle: area = ½ × base × height. Circle (π = 22/7): area = π × r × r, circumference = 2 × π × r. Path outside a garden: (l + 2w) × (b + 2w) − l × b.

1. 1.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
2. 2.A garden is 18 m long and 6 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
3. 3.A park is 42 m long and 36 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
4. 4.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
5. 5.A park is 53 m long and 18 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
6. 6.The perimeter of a square is 36 cm. What is its area (in sq cm)?
7. 7.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
8. 8.A garden is 16 m long and 14 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
9. 9.A rectangle has an area of 390 sq cm and a length of 30 cm. What is its perimeter (in cm)?
10. 10.A triangle has a base of 15 cm and a height of 10 cm. What is its area (in sq cm)?
11. 11.A rectangular field is 21 m long and 20 m wide. What is its area (in sq m)?
12. 12.A park is 57 m long and 8 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
13. 13.The perimeter of a square is 120 cm. What is its area (in sq cm)?
14. 14.A park is 27 m long and 22 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
15. 15.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
16. 16.A rectangular field is 18 m long and 15 m wide. What is its area (in sq m)?
17. 17.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
18. 18.A rectangle has an area of 540 sq cm and a length of 30 cm. What is its perimeter (in cm)?
19. 19.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
20. 20.A garden is 12 m long and 11 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
21. 21.A garden is 31 m long and 21 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
22. 22.A rectangle has an area of 408 sq cm and a length of 34 cm. What is its perimeter (in cm)?
23. 23.The perimeter of a square is 80 cm. What is its area (in sq cm)?
24. 24.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
25. 25.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
26. 26.The perimeter of a square is 20 cm. What is its area (in sq cm)?
27. 27.A rectangle has an area of 420 sq cm and a length of 30 cm. What is its perimeter (in cm)?
28. 28.A park is 54 m long and 19 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
29. 29.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
30. 30.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
31. 31.A rectangular field is 36 m long and 13 m wide. What is its area (in sq m)?
32. 32.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
33. 33.A rectangular field is 16 m long and 14 m wide. What is its area (in sq m)?
34. 34.A rectangular field is 31 m long and 8 m wide. What is its area (in sq m)?
35. 35.A rectangular field is 10 m long and 9 m wide. What is its area (in sq m)?
36. 36.A rectangular field is 37 m long and 7 m wide. What is its area (in sq m)?
37. 37.A triangle has a base of 4 cm and a height of 17 cm. What is its area (in sq cm)?
38. 38.A triangle has a base of 16 cm and a height of 23 cm. What is its area (in sq cm)?
39. 39.The perimeter of a square is 60 cm. What is its area (in sq cm)?
40. 40.The perimeter of a square is 100 cm. What is its area (in sq cm)?

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